A comparative review is given of some well-known and some recent results obtained in
studies of two-and three-dimensional (2D and 3D) solitons, with emphasis on states carrying …

A brief review is given of some well-known and some very recent results obtained in studies
of two-and three-dimensional (2D and 3D) solitons. Both zero-vorticity (fundamental) …

It is commonly known that two-dimensional mean-field models of optical and matter waves
with cubic self-attraction cannot produce stable solitons in free space because of the …

By means of variational methods and systematic numerical analysis, we demonstrate the
existence of metastable solitons in three dimensional (3D) free space, in the context of …

We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the
pseudospinor system of Gross-Pitaevskii equations with self-and cross attraction, which …

We consider a two-component pancake-shaped, ie, effectively two-dimensional (2D), Bose-
Einstein condensate coupled by the spin-orbit (SO) and Rabi terms. The SO coupling …

We study the vortex-bright solitons in a quasi-two-dimensional spin-orbit-coupled (SO-
coupled) hyperfine spin-1 three-component Bose-Einstein condensate using variational …

We report families of two-dimensional (2D) composite solitons in spinor dipolar Bose-
Einstein condensates, with two localized components linearly mixed by the spin-orbit …

While different ways to realize spin-orbit coupling in Bose-Einstein condensates exist, not all
are currently experimentally implementable. Here we present a detailed study of gap …

We demonstrate stable and metastable vortex-bright solitons in a three-dimensional spin-
orbit-coupled three-component hyperfine spin-1 Bose-Einstein condensate (BEC) using …